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What is the Least Common Multiple of 18079 and 18092?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 18079 and 18092 is 327085268.

LCM(18079,18092) = 327085268

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Least Common Multiple of 18079 and 18092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18079 and 18092, than apply into the LCM equation.

GCF(18079,18092) = 1
LCM(18079,18092) = ( 18079 × 18092) / 1
LCM(18079,18092) = 327085268 / 1
LCM(18079,18092) = 327085268

Least Common Multiple (LCM) of 18079 and 18092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18079 and 18092. First we will calculate the prime factors of 18079 and 18092.

Prime Factorization of 18079

Prime factors of 18079 are 101, 179. Prime factorization of 18079 in exponential form is:

18079 = 1011 × 1791

Prime Factorization of 18092

Prime factors of 18092 are 2, 4523. Prime factorization of 18092 in exponential form is:

18092 = 22 × 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 18079 and 18092.

LCM(18079,18092) = 1011 × 1791 × 22 × 45231
LCM(18079,18092) = 327085268